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How many 2-inch by 3-inch rectangular tiles are required to tile this

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Bunuel
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How many 2-inch by 3-inch rectangular tiles are required to tile this [#permalink] New post   26 Jan 2016, 02:54
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A
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E

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95% (hard)

Question Stats:

15% (01:55) correct 85% (01:26) wrong based on 358 sessions
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How many 2-inch by 3-inch rectangular tiles are required to tile this shaded region?

A. Less than 10
B. 10—100
C. 101—1,000
D. 1,001—1,500
E. 1,500+

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E
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chetan2u
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How many 2-inch by 3-inch rectangular tiles are required to tile this [#permalink] New post   24 Apr 2016, 03:07
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sabxu1 wrote:
chetan2u wrote:
Bunuel,
E is ok..
people have not read Q properly


so what is the answer E or? why is E ok im so confused


hi answer is E itself

there is a 6'*12' garden with a 2'*3' patch..
Q is -How many 2"*3" tiles can be placed and not 2'*3'

convert all feet into inches as we arelooking into tiles which are in inches

1) so total area of garden = 6*12*12*12
2) Area of patch = 3’*2’=(3*12*2*12)”

Hence, shaded region = 12*12*12*6 - 12*12*3*2 = 12*12(6*12-2*3) = 12*12*2*3(12-1)..
no of 2"*3" tiles required =\(\frac{12*12*12*2*3*11}{2*3} = 12*12*11= 1584 > 1500\)
so ans is 1500+
E
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Re: How many 2-inch by 3-inch rectangular tiles are required to tile this [#permalink] New post   26 Jan 2016, 03:46
12*6/3*2=12
As it has a tile already .it requires 11 tiles
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Re: How many 2-inch by 3-inch rectangular tiles are required to tile this [#permalink] New post   29 Jan 2016, 00:08
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Hi All,

These types of 'spacial relations' questions are rare on Test Day (chances are that you will NOT see any), but there is often a 'twist' to the question - involving placing the 'tiles' in a specific way. This question doesn't actually have a twist though (the numbers 2 and 3 are BOTH factors of 6 and 12, so you can orient the 'tiles' up-down or left-right and fill the space.

Since the total area is (6)(12) = 72 and the area of each tile is (2)(3) = 6, we know that the number of tiles needed to fill the space is 72/6 = 12 total tiles.

Final Answer:
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B


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Re: How many 2-inch by 3-inch rectangular tiles are required to tile this [#permalink] New post   29 Jan 2016, 01:31
This kind of sum I prefer graphical approach to avoid mistake

two orientations possible

Please refer the attachment for figure

in both 6*2 orientation or 3*4 orientation , there will be 12 tiles
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Re: How many 2-inch by 3-inch rectangular tiles are required to tile this [#permalink] New post   17 Feb 2016, 04:23
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Spikey243 wrote:
Why is E marked as the right answer?


Hi,
Answer is E itself, most have not read/understood the Q correctly..

there is a 6'*12' garden with a 2'*3' patch..
How many 2"*3" tiles can be placed and not 2'*3'
So VERY IMPORTANT TO READ Q PROPERLY

ans \(\frac{{6*12*12*12}}{{2*3}}- \frac{{2*12*3*12}}{{2*3}}=12*12*12-12*12= 11*12*12\), which is 1000+ and hence E
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Re: How many 2-inch by 3-inch rectangular tiles are required to tile this [#permalink] New post   17 Feb 2016, 04:23
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Bunuel wrote:
Spikey243 wrote:
Why is E marked as the right answer?


Edited. Thank you.


Bunuel,
E is ok..
people have not read Q properly
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Re: How many 2-inch by 3-inch rectangular tiles are required to tile this [#permalink] New post   17 Feb 2016, 04:55
damn that was tricky :D
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Re: How many 2-inch by 3-inch rectangular tiles are required to tile this [#permalink] New post   20 Apr 2016, 14:04
total number of tiles is 1584. Convert 12 ft x 6 ft to inches and then find out how many tiles can fit in the shaded region.
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Re: How many 2-inch by 3-inch rectangular tiles are required to tile this [#permalink] New post   23 Apr 2016, 22:08
chetan2u wrote:
Bunuel wrote:
Spikey243 wrote:
Why is E marked as the right answer?


Edited. Thank you.


Bunuel,
E is ok..
people have not read Q properly


so what is the answer E or? why is E ok im so confused
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Re: How many 2-inch by 3-inch rectangular tiles are required to tile this [#permalink] New post   24 Apr 2016, 07:52
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sabxu1 wrote:
chetan2u wrote:
Bunuel wrote:
quote="Spikey243": Why is E marked as the right answer?

Edited. Thank you.


Bunuel,
E is ok..
people have not read Q properly


so what is the answer E or? why is E ok im so confused

The international symbols for feet and inches are ft and in, respectively. But sometimes in the USA, people use the prime and double prime symbols to represent feet and inches, respectively. The OP did not include a definition of prime and double prime. IMHO, it's quite unlikely people outside the USA may be aware that the single prime is not an inch, but a foot. I seriously doubt the GMAT exam contains a question exactly as specified in the OP.
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Re: How many 2-inch by 3-inch rectangular tiles are required to tile this [#permalink] New post   09 Jun 2016, 00:30
chetan2u wrote:
sabxu1 wrote:
chetan2u wrote:
Bunuel,
E is ok..
people have not read Q properly


so what is the answer E or? why is E ok im so confused


hi answer is E itself

there is a 6'*12' garden with a 2'*3' patch..
Q is -How many 2"*3" tiles can be placed and not 2'*3'
convert all feet into inches as we arelooking into tiles which are in inches
so total area of garden = 6*12*12*12
shaded region = 12*12(6*12-2*3) = 12*12*2*3(12-1)..
no of 2"*3" tiles required =\(\frac{12*12*12*2*3*11}{2*3} = 12*12*11= 1584 > 1500\)
so ans is 1500+
E

Apologies for finding a doubt with figure
nowhere in the figure it is showing that the rectangle is 12 feet * 6 feet
or are we supposed to assume 12' as 12 feet?
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Re: How many 2-inch by 3-inch rectangular tiles are required to tile this [#permalink] New post   09 Jun 2016, 00:35
Bunuel wrote:

How many 2-inch by 3-inch rectangular tiles are required to tile this shaded region?

A. Less than 10
B. 10—100
C. 101—1,000
D. 1,001—1,500
E. 1,500+

Show Spoiler
Attachment:
2016-01-24_1704.png

Apologies for finding a doubt with figure
nowhere in the figure it is showing that the rectangle is 12 feet * 6 feet
or are we supposed to assume 12' as 12 feet?
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Re: How many 2-inch by 3-inch rectangular tiles are required to tile this [#permalink] New post   16 Aug 2016, 23:49
chetan2u wrote:
sabxu1 wrote:
chetan2u wrote:
Bunuel,
E is ok..
people have not read Q properly


so what is the answer E or? why is E ok im so confused


hi answer is E itself

there is a 6'*12' garden with a 2'*3' patch..
Q is -How many 2"*3" tiles can be placed and not 2'*3'
convert all feet into inches as we arelooking into tiles which are in inches
so total area of garden = 6*12*12*12
shaded region = 12*12(6*12-2*3) = 12*12*2*3(12-1)..
no of 2"*3" tiles required =\(\frac{12*12*12*2*3*11}{2*3} = 12*12*11= 1584 > 1500\)
so ans is 1500+
E


Bunuel,
Can you give us your solution too..
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Re: How many 2-inch by 3-inch rectangular tiles are required to tile this [#permalink] New post   15 May 2018, 00:31
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" stands for Inches
' stands for feet .

And this question is god to know how much you are attentive about units.
(12*12*6*12)/(3*2) > 1500
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Re: How many 2-inch by 3-inch rectangular tiles are required to tile this [#permalink] New post   17 May 2018, 00:12
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This is tricky!!!
" = Inch, ' = ft !
1 ft = 12 inch
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Re: How many 2-inch by 3-inch rectangular tiles are required to tile this [#permalink] New post   04 Mar 2021, 01:01
I am not from the US, I am not aware that ' is ft and '' is inch.
Do we really need to know this for GMAT?
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Re: How many 2-inch by 3-inch rectangular tiles are required to tile this [#permalink] New post   05 Mar 2021, 05:16
frankgraves wrote:
I am not from the US, I am not aware that ' is ft and '' is inch.
Do we really need to know this for GMAT?


frankgraves, probably not. But for me, the takeaway was not that ' is ft and " is inch. I knew it before seeing this question, but did not pay attention to this while solving this question and got the answer wrong. Bunuel this was awesome even if it's not likely to be tested on the GMAT.
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Re: How many 2-inch by 3-inch rectangular tiles are required to tile this [#permalink] New post   26 May 2021, 19:07
chetan2u wrote:
sabxu1 wrote:
chetan2u wrote:
Bunuel,
E is ok..
people have not read Q properly


so what is the answer E or? why is E ok im so confused


hi answer is E itself

there is a 6'*12' garden with a 2'*3' patch..
Q is -How many 2"*3" tiles can be placed and not 2'*3'
convert all feet into inches as we arelooking into tiles which are in inches
so total area of garden = 6*12*12*12
shaded region = 12*12(6*12-2*3) = 12*12*2*3(12-1)..
no of 2"*3" tiles required =\(\frac{12*12*12*2*3*11}{2*3} = 12*12*11= 1584 > 1500\)
so ans is 1500+
E



Hey, can you explain the shaded region and the fraction thereafter? should 3'2' not necessarily be 3'*12*2'*12?
and the unshaded portion as 6*12*12*12/ 3'*12*2'*12?
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Re: How many 2-inch by 3-inch rectangular tiles are required to tile this [#permalink] New post   26 May 2021, 20:35
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Jaya6 wrote:
chetan2u wrote:

hi answer is E itself

there is a 6'*12' garden with a 2'*3' patch..
Q is -How many 2"*3" tiles can be placed and not 2'*3'
convert all feet into inches as we arelooking into tiles which are in inches
so total area of garden = 6*12*12*12
shaded region = 12*12(6*12-2*3) = 12*12*2*3(12-1)..
no of 2"*3" tiles required =\(\frac{12*12*12*2*3*11}{2*3} = 12*12*11= 1584 > 1500\)
so ans is 1500+
E



Hey, can you explain the shaded region and the fraction thereafter? should 3'2' not necessarily be 3'*12*2'*12?
and the unshaded portion as 6*12*12*12/ 3'*12*2'*12?


The unshaded portion is 3’*2’=3*12*2*12.

While, the shaded will become total-unshaded. => 6*12*12*12-3*12*2*12
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Re: How many 2-inch by 3-inch rectangular tiles are required to tile this [#permalink]
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